Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
123872i |
Isogeny class |
Conductor |
123872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
38069334016 = 212 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 1 3 7- -6 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-849,1343] |
[a1,a2,a3,a4,a6] |
Generators |
[31:76:1] |
Generators of the group modulo torsion |
j |
140608/79 |
j-invariant |
L |
10.088390393177 |
L(r)(E,1)/r! |
Ω |
0.99550662465919 |
Real period |
R |
2.5334814406138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123872m1 2528b1 |
Quadratic twists by: -4 -7 |